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Finding the Fourth Proportional to 31,325.47, 46,897.95 and 20,806

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Solution

The fourth proportional to 31,325.47, 46,897.95 and 20,806 is: 31,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,325.47 : 46,897.95 = 20,806 : x
  2. Step 2: Convert to fraction form
    31,325.47/46,897.95 = 20,806/x
  3. Step 3: Cross multiply
    31,325.47x = 46,897.95 × 20,806
  4. Step 4: Simplify right side
    31,325.47x = 975,758,747.70
  5. Step 5: Solve for x
    x = 975,758,747.70/31,325.47
  6. Step 6: Final answer
    x = 31,149.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.